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Finding the Fourth Proportional to 1,310.94, 1,966.14 and 488.76

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Solution

The fourth proportional to 1,310.94, 1,966.14 and 488.76 is: 733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.94 : 1,966.14 = 488.76 : x
  2. Step 2: Convert to fraction form
    1,310.94/1,966.14 = 488.76/x
  3. Step 3: Cross multiply
    1,310.94x = 1,966.14 × 488.76
  4. Step 4: Simplify right side
    1,310.94x = 960,970.59
  5. Step 5: Solve for x
    x = 960,970.59/1,310.94
  6. Step 6: Final answer
    x = 733.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.